In this work, in the light of the Razumikhin stability theorem combined with the Newton-Leibniz formula, a new delay-dependent exponential stability condition is first derived for linear non-autonomous time delay systems without using model transformation and bounding techniques on the derivative of
Preservation of exponential stability for linear non-autonomous functional differential systems
โ Scribed by Leonid Berezansky; Elena Braverman
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 299 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0005-1098
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โฆ Synopsis
We consider preservation of exponential stability for a system of linear equations with a distributed delay under the addition of new terms and a delay perturbation. As particular cases, the system includes models with concentrated delays and systems of integrodifferential equations. Our method is based on Bohl-Perron type theorems.
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